EduSahara™ Assignment
Name : Polynomial Concepts
Chapter : Polynomials
Grade : CBSE Grade IX
License : Non Commercial Use
Question 1
1.
Which of the following are polynomials?
a)
    • (
      x
      +
      y
      )
b)
    • x
      2
       
c)
    • x
      2
       
      +
      1

      x
      2
       
d)
    • (
      x
      +
      y
      )

      (
      x
      y
      )
e)
    • x
      +
      1

      x
  • (i)
    {e,c,a}
  • (ii)
    {d,b,a}
  • (iii)
    {a,b}
  • (iv)
    {d,b}
  • (v)
    {c,a}
Question 2
2.
Which of the following are not polynomials?
a)
    • (
      5
      x
      +
      2
      y
      )
b)
    • (
      35
      x
      2
       
      31
      x
      y
      18
      y
      2
       
      )
c)
    • x
      +
      1

      x
d)
    • 81
      x
      2
       
e)
    • (
      5
      x
      +
      2
      y
      )

      (
      7
      x
      9
      y
      )
  • (i)
    {b,e,c}
  • (ii)
    {b,e}
  • (iii)
    {d,a,c}
  • (iv)
    {c,e}
  • (v)
    {a,c}
Question 3
3.
Which of the following are not polynomials?
a)
    • (
      6
      x
      10
      y
      )
b)
    • (
      9
      x
      +
      y
      )
c)
    • 36
      x
      2
       
      +
      1

      36
      x
      2
       
d)
    • √x
e)
    • 36
      x
      2
       
  • (i)
    {c,d}
  • (ii)
    {b,d}
  • (iii)
    {a,c}
  • (iv)
    {e,a,c}
  • (v)
    {b,d,c}
Question 4
4.
Which of the following are not polynomials?
a)
    • (
      4
      x
      +
      9
      y
      )

      (
      10
      x
      4
      y
      )
b)
    • (
      40
      x
      2
       
      +
      74
      x
      y
      36
      y
      2
       
      )
c)
    • (
      10
      x
      4
      y
      )
d)
    • 144
      x
      2
       
e)
    • √x
  • (i)
    {c,e,a}
  • (ii)
    {d,b,a}
  • (iii)
    {b,a}
  • (iv)
    {a,e}
  • (v)
    {c,e}
Question 5
5.
    • The degree of the polynomial
    • (
      8
      j
      +
      8
      )
    • is
  • (i)
    0
  • (ii)
    2
  • (iii)
    1
  • (iv)
    (-1)
  • (v)
    3
Question 6
6.
    • The degree of the polynomial
    • (
      f
      2
       
      +
      8
      f
      +
      4
      )
    • is
  • (i)
    3
  • (ii)
    0
  • (iii)
    4
  • (iv)
    1
  • (v)
    2
Question 7
7.
    • The degree of the polynomial
    • (
      7
      t
      2
       
      +
      9
      t
      8
      )
    • is
  • (i)
    2
  • (ii)
    1
  • (iii)
    3
  • (iv)
    0
  • (v)
    5
Question 8
8.
    • The degree of the polynomial
    • (
      5
      w
      5
       
      2
      w
      4
       
      +
      7
      w
      3
       
      +
      4
      w
      2
       
      w
      )
    • is
  • (i)
    8
  • (ii)
    5
  • (iii)
    6
  • (iv)
    2
  • (v)
    4
Question 9
9.
    • The constant term in polynomial
    • (
      5
      v
      +
      6
      )
    • is
  • (i)
    9
  • (ii)
    4
  • (iii)
    5
  • (iv)
    7
  • (v)
    6
Question 10
10.
    • The coefficient of term
    • h
      2
       
    • in polynomial
    • (
      8
      h
      2
       
      3
      h
      +
      3
      )
    • is
  • (i)
    -9
  • (ii)
    -8
  • (iii)
    -7
  • (iv)
    -5
  • (v)
    -10
Question 11
11.
    • The coefficient of term
    • s
      2
       
    • in polynomial
    • (
      5
      s
      3
       
      +
      5
      s
      2
       
      s
      6
      )
    • is
  • (i)
    4
  • (ii)
    6
  • (iii)
    3
  • (iv)
    5
  • (v)
    7
Question 12
12.
    • The coefficient of term
    • a
      4
       
    • in polynomial
    • (
      a
      4
       
      +
      9
      a
      3
       
      +
      8
      a
      2
       
      +
      a
      +
      3
      )
    • is
  • (i)
    -1
  • (ii)
    2
  • (iii)
    -4
  • (iv)
    -2
  • (v)
    0
Question 13
13.
Which of the following algebraic expressions is a monomial?
  • (i)
    2
    m
    2
     
  • (ii)
    (
    5
    m
    4
     
    9
    m
    3
     
    9
    m
    2
     
    4
    m
    5
    )
  • (iii)
    (
    6
    m
    4
     
    +
    3
    )
  • (iv)
    (
    5
    m
    4
     
    +
    8
    m
    2
     
    5
    m
    )
  • (v)
    (
    4
    m
    4
     
    5
    m
    3
     
    5
    m
    2
     
    +
    9
    m
    +
    9
    )
Question 14
14.
Which of the following algebraic expressions is a binomial?
  • (i)
    (
    7
    b
    4
     
    +
    7
    b
    3
     
    +
    3
    b
    2
     
    +
    3
    b
    6
    )
  • (ii)
    (
    9
    b
    2
     
    +
    9
    b
    2
    )
  • (iii)
    (
    4
    b
    4
     
    b
    )
  • (iv)
    7
    b
    4
     
  • (v)
    (
    2
    b
    4
     
    b
    3
     
    3
    b
    2
     
    +
    3
    b
    1
    )
Question 15
15.
Which of the following algebraic expressions is a trinomial?
  • (i)
    (
    8
    i
    2
     
    2
    i
    +
    1
    )
  • (ii)
    (
    9
    i
    4
     
    4
    i
    3
     
    5
    i
    2
     
    8
    i
    2
    )
  • (iii)
    (
    4
    i
    4
     
    8
    i
    3
     
    i
    2
     
    +
    i
    +
    4
    )
  • (iv)
    9
    i
  • (v)
    (
    4
    i
    3
     
    +
    6
    i
    )
Question 16
16.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    9
    z
    3
     
    +
    2
    z
    2
     
    +
    8
    )
  • (ii)
    (
    5
    z
    4
     
    +
    2
    z
    3
     
    7
    z
    2
     
    4
    z
    2
    )
  • (iii)
    7
    z
    4
     
  • (iv)
    (
    9
    z
    3
     
    1
    )
  • (v)
    3
Question 17
17.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    (
    5
    m
    4
     
    +
    m
    3
     
    4
    m
    2
     
    )
  • (ii)
    (
    4
    m
    4
     
    +
    2
    m
    3
     
    7
    m
    2
     
    4
    m
    +
    9
    )
  • (iii)
    9
    m
    2
     
  • (iv)
    (
    7
    m
    4
     
    7
    )
  • (v)
    0
Question 18
18.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    2
    e
    3
     
    +
    e
    2
     
    6
    e
    6
    )
  • (ii)
    (
    4
    e
    +
    6
    )
  • (iii)
    7
  • (iv)
    (
    5
    e
    4
     
    +
    9
    e
    3
     
    2
    e
    2
     
    +
    8
    e
    8
    )
  • (v)
    (
    9
    e
    2
     
    +
    6
    e
    4
    )
Question 19
19.
Which of the following algebraic expressions is a linear polynomial?
  • (i)
    (
    9
    s
    3
     
    5
    s
    2
     
    5
    s
    +
    2
    )
  • (ii)
    (
    3
    s
    +
    5
    )
  • (iii)
    (
    7
    s
    5
     
    +
    5
    s
    4
     
    +
    s
    3
     
    +
    5
    s
    8
    )
  • (iv)
    (
    8
    s
    2
     
    +
    8
    s
    +
    2
    )
  • (v)
    9
Question 20
20.
Which of the following algebraic expressions is a quadratic polynomial?
  • (i)
    (
    8
    r
    2
     
    9
    r
    +
    7
    )
  • (ii)
    (
    9
    )
  • (iii)
    (
    3
    r
    5
     
    +
    3
    r
    4
     
    +
    3
    r
    3
     
    +
    5
    r
    3
    )
  • (iv)
    (
    4
    r
    +
    3
    )
  • (v)
    (
    2
    r
    3
     
    +
    6
    r
    2
     
    +
    3
    r
    +
    4
    )
Question 21
21.
Which of the following algebraic expressions is a cubic polynomial?
  • (i)
    (
    6
    u
    3
    )
  • (ii)
    (
    6
    )
  • (iii)
    (
    3
    u
    3
     
    +
    5
    u
    2
     
    2
    u
    +
    6
    )
  • (iv)
    (
    4
    u
    4
     
    8
    u
    3
     
    4
    u
    2
     
    +
    9
    u
    +
    8
    )
  • (v)
    (
    3
    u
    2
     
    7
    u
    +
    9
    )
Question 22
22.
    • The degree of polynomial
    • (
      6
      d
      e
      14
      d
      e
      4
      )
    • is
  • (i)
    (-1)
  • (ii)
    5
  • (iii)
    1
  • (iv)
    2
  • (v)
    3
Question 23
23.
    • The degree of polynomial
    • (
      4
      r
      2
       
      s
      9
      r
      2
       
      7
      r
      s
      8
      r
      )
    • is
  • (i)
    4
  • (ii)
    2
  • (iii)
    6
  • (iv)
    3
  • (v)
    0
Question 24
24.
    • The degree of polynomial
    • (
      8
      a
      2
       
      b
      c
      +
      5
      b
      c
      2
       
      +
      8
      b
      6
      c
      2
       
      +
      9
      c
      )
    • is
  • (i)
    2
  • (ii)
    3
  • (iii)
    5
  • (iv)
    4
  • (v)
    7
Question 25
25.
    • The degree of polynomial
    • (
      9
      a
      3
       
      b
      3
       
      c
      3
       
      6
      a
      3
       
      b
      2
       
      c
      8
      a
      b
      3
       
      c
      3
       
      8
      a
      b
      3
       
      b
      3
       
      c
      3
       
      b
      c
      3
       
      +
      7
      c
      )
    • is
  • (i)
    10
  • (ii)
    9
  • (iii)
    8
  • (iv)
    12
  • (v)
    6
Question 26
26.
    • The coefficient of term
    • o
    • in polynomial
    • (
      2
      n
      o
      +
      5
      n
      +
      o
      +
      19
      )
    • is
  • (i)
    2
  • (ii)
    0
  • (iii)
    1
  • (iv)
    3
  • (v)
    -2
Question 27
27.
    • The coefficient of term
    • w
    • in polynomial
    • (
      7
      w
      x
      +
      9
      w
      +
      8
      x
      2
       
      +
      2
      x
      )
    • is
  • (i)
    6
  • (ii)
    9
  • (iii)
    11
  • (iv)
    8
  • (v)
    10
Question 28
28.
    • The constant term in polynomial
    • (
      k
      2
       
      l
      2
       
      m
      2
       
      +
      7
      k
      2
       
      l
      2
       
      m
      3
      k
      l
      2
       
      m
      +
      3
      k
      l
      +
      4
      )
    • is
  • (i)
    3
  • (ii)
    4
  • (iii)
    5
  • (iv)
    6
  • (v)
    2
Question 29
29.
    • The coefficient of term
    • k
      3
       
      l
      m
      2
       
    • in polynomial
    • (
      4
      k
      3
       
      l
      3
       
      m
      +
      2
      k
      3
       
      l
      m
      2
       
      +
      3
      k
      2
       
      l
      2
       
      m
      3
       
      +
      9
      k
      2
       
      2
      k
      l
      2
       
      m
      3
       
      +
      k
      l
      m
      2
       
      8
      m
      2
       
      )
    • is
  • (i)
    -1
  • (ii)
    1
  • (iii)
    3
  • (iv)
    2
  • (v)
    5
Question 30
30.
Which of the following algebraic expressions is a monomial?
  • (i)
    (
    6
    p
    2
     
    r
    3
     
    p
    q
    3
     
    r
    3
     
    +
    5
    q
    )
  • (ii)
    (
    6
    p
    3
     
    q
    +
    5
    q
    3
     
    r
    2
     
    )
  • (iii)
    5
    p
    3
     
    q
    r
  • (iv)
    (
    3
    p
    3
     
    r
    2
     
    p
    2
     
    q
    r
    9
    p
    2
     
    q
    +
    9
    p
    2
     
    )
  • (v)
    (
    5
    p
    2
     
    q
    3
     
    r
    3
     
    7
    p
    q
    2
     
    r
    3
     
    +
    4
    r
    2
     
    8
    )
Question 31
31.
Which of the following algebraic expressions is a binomial?
  • (i)
    (
    6
    t
    3
     
    u
    2
     
    v
    )
  • (ii)
    (
    2
    t
    2
     
    v
    2
     
    +
    6
    t
    u
    v
    3
     
    +
    8
    u
    v
    )
  • (iii)
    (
    3
    t
    3
     
    u
    3
     
    v
    2
     
    5
    t
    3
     
    v
    3
    t
    u
    v
    3
     
    3
    u
    3
     
    )
  • (iv)
    (
    4
    t
    3
     
    8
    t
    2
     
    u
    v
    )
  • (v)
    (
    t
    3
     
    u
    2
     
    v
    2
     
    2
    t
    u
    2
     
    v
    7
    u
    2
     
    v
    2
     
    +
    7
    u
    v
    3
     
    )
Question 32
32.
Which of the following algebraic expressions is a trinomial?
  • (i)
    (
    q
    3
     
    s
    2
    q
    r
    3
     
    s
    3
     
    +
    5
    r
    2
     
    s
    +
    9
    r
    s
    3
     
    )
  • (ii)
    (
    2
    q
    3
     
    r
    3
     
    s
    2
     
    4
    q
    3
     
    s
    +
    6
    q
    r
    2
     
    s
    )
  • (iii)
    (
    q
    2
     
    r
    +
    4
    r
    2
     
    s
    2
     
    )
  • (iv)
    2
    q
    3
     
    r
    s
    3
     
  • (v)
    (
    q
    3
     
    r
    s
    2
     
    +
    8
    r
    3
     
    9
    r
    2
     
    s
    +
    9
    )
Question 33
33.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    6
    w
    2
     
    x
    2
     
    y
    2
     
    8
    w
    2
     
    x
    y
    +
    2
    w
    2
     
    y
    3
     
    +
    5
    w
    y
    2
     
    )
  • (ii)
    (
    6
    )
  • (iii)
    (
    5
    w
    2
     
    x
    2
     
    y
    2
     
    2
    w
    2
     
    x
    y
    3
     
    )
  • (iv)
    (
    8
    w
    x
    2
     
    y
    )
  • (v)
    (
    w
    2
     
    x
    3
     
    y
    2
     
    +
    5
    w
    2
     
    x
    3
     
    8
    x
    2
     
    y
    2
     
    )
Question 34
34.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    0
  • (ii)
    (
    7
    k
    2
     
    l
    3
     
    8
    l
    )
  • (iii)
    (
    8
    j
    2
     
    k
    3
     
    8
    j
    k
    2
     
    4
    k
    2
     
    l
    3
     
    )
  • (iv)
    (
    7
    j
    3
     
    k
    3
     
    l
    2
     
    )
  • (v)
    (
    3
    j
    3
     
    k
    3
     
    l
    2
     
    6
    j
    3
     
    k
    2
     
    l
    2
     
    +
    j
    3
     
    5
    j
    2
     
    k
    3
     
    l
    2
     
    )
    Assignment Key

  •  1) (iii)
  •  2) (iv)
  •  3) (i)
  •  4) (iv)
  •  5) (iii)
  •  6) (v)
  •  7) (i)
  •  8) (ii)
  •  9) (v)
  •  10) (ii)
  •  11) (iv)
  •  12) (i)
  •  13) (i)
  •  14) (iii)
  •  15) (i)
  •  16) (v)
  •  17) (v)
  •  18) (iii)
  •  19) (ii)
  •  20) (i)
  •  21) (iii)
  •  22) (iv)
  •  23) (iv)
  •  24) (iv)
  •  25) (ii)
  •  26) (iii)
  •  27) (ii)
  •  28) (ii)
  •  29) (iv)
  •  30) (iii)
  •  31) (iv)
  •  32) (ii)
  •  33) (ii)
  •  34) (i)